6 papers
Random meander model for links
Nicholas Owad, Anastasiia Tsvietkova
We suggest a new random model for links based on meander diagrams and graphs. We then prove that trivial links appear with vanishing probability in this model, no link is obtai…
The tunnel number of all 11 and 12 crossing alternating knots
Felipe Castellano-Macías, Nicholas Owad
Using exhaustive techniques and results from Lackenby and many others, we compute the tunnel number of all 1655 alternating 11 and 12 crossing knots and of 881 non-alternating 11 a…
Families of not perfectly straight knots
Nicholas Owad
We present two families of knots which have straight number higher than crossing number. In the case of the second family, we have computed the straight number explicitly. We also…
Straight knots
Nicholas Owad
Jablan and Radović originally defined two invariants called the Meander number and OGC number of knots for certain classes of knots. We generalize these definitions to all knots an…
Bridge spectra of cables of 2-bridge knots
Nicholas Owad
We compute the bridge spectra of cables of 2-bridge knots. We also give some results about bridge spectra and distance of Montesinos knots.
Stair-step bridge spectra does not imply high distance
Nicholas Owad
Tomova, along with results of Bachman and Schleimer, showed that any high distance knot has a stair-step bridge spectrum. In this paper, we compute the bridge spectra and distance…